Advertisements
Advertisements
प्रश्न
If A = `[(1, -1, 1),(2, 1, -3),(1, 1, 1)]`, 10B = `[(4, 2,2),(-5, 0, ∞),(1, -2, 3)]` and B is the inverse of matrix A, then α = ______
विकल्प
–2
–1
2
5
उत्तर
5
APPEARS IN
संबंधित प्रश्न
Find the matrix of the co-factor for the following matrix.
`[(1,3),(4,-1)]`
Find the inverse of the following matrix.
`[(2, -3),(-1, 2)]`
Find the inverse of the following matrix (if they exist):
`((2,1),(1,-1))`
Find the inverse of the following matrix (if they exist):
`((1,3),(2,7))`
Find the inverse of the following matrix (if they exist):
`[(3,-10),(2,-7)]`
Find the inverse of `[(1,2,3),(1,1,5),(2,4,7)]` by the adjoint method.
Find the inverse `[(1, 2, 3 ),(1, 1, 5),(2, 4, 7)]` of the elementary row tranformation.
Find matrix X, if AX = B, where A = `[(1, 2, 3),(-1, 1, 2),(1, 2, 4)] "and B" = [(1),(2),(3)]`.
If A = `[(1, 2),(-3, -1)], "B" = [(-1, 0),(1, 5)]`, then AB =
State whether the following is True or False :
If A and B are conformable for the product AB, then (AB)T = ATBT.
State whether the following is True or False :
A(adj. A) = |A| I, where I is the unit matrix.
If A = `[(0, 0, -1),(0, -1, 0),(-1, 0, 0)]`, then the only correct statement about the matrix A is ______
If A = `[(2, 2),(-3, 2)]` and B = `[(0, -1),(1, 0)]`, then find the matrix (B−1 A−1)−1.
If A = `[(3, 1),(5, 2)]`, and AB = BA = I, then find the matrix B
A + I = `[(3, -2),(4, 1)]` then find the value of (A + I)(A − I)
If f(x) = x2 − 2x − 3 then find f(A) when A = `[(1, 2),(2, 1)]`
Find A–1 using adjoint method, where A = `[(cos theta, sin theta),(-sin theta, cos theta)]`
The value of Cofactor of element a21 in matrix A = `[(1, 2),(5, -8)]` is ______
If A = `[(2,-2,2),(2,3,0),(9,1,5)]` then, show that (adj A) A = O.
If A-1 = `[(1,0,3),(2,1,-1),(1,-1,1)]` then, find A.
Show that the matrices A = `[(2,2,1),(1,3,1),(1,2,2)]` and B = `[(4/5,(-2)/5,(-1)/5),((-1)/5,3/5,(-1)/5),((-1)/5,(-2)/5,4/5)]` are inverses of each other.
Find m if the matrix `[(1,1,3),(2,λ,4),(9,7,11)]` has no inverse.
Solve by matrix inversion method:
2x + 3y – 5 = 0; x – 2y + 1 = 0.
Solve by matrix inversion method:
2x – z = 0; 5x + y = 4; y + 3z = 5
The prices of three commodities A, B, and C are ₹ x, y, and z per unit respectively. P purchases 4 units of C and sells 3 units of A and 5 units of B. Q purchases 3 units of B and sells 2 units of A and 1 unit of C. R purchases 1 unit of A and sells 4 units of B and 6 units of C. In the process P, Q and R earn ₹ 6,000, ₹ 5,000 and ₹ 13,000 respectively. By using the matrix inversion method, find the prices per unit of A, B, and C.
The sum of three numbers is 20. If we multiply the first by 2 and add the second number and subtract the third we get 23. If we multiply the first by 3 and add second and third to it, we get 46. By using the matrix inversion method find the numbers.
If A is 3 × 3 matrix and |A| = 4 then |A-1| is equal to:
If A = `[(1,2),(3,-5)]`, then A-1 = ?
If A = `[(p/4, 0, 0), (0, q/5, 0), (0, 0, r/6)]` and `"A"^-1 = [(1/4, 0, 0), (0, 1/5, 0), (0, 0, 1/6)]`, then p + q + r = ______
If a 3 × 3 matrix A has its inverse equal to A, then A2 = ______
If A = `[(2, -3, 3),(2, 2, 3),(3, "p", 2)]` and A–1 = `[(-2/5, 0, 3/5),(-1/5, 1/5, "q"),(2/5, 1/5, -2/5)]`, then ______.
Find the cofactors of the elements of the matrix
`[(-1, 2),(-3, 4)]`
If A = `[(2, 3),(a, 6)]` is a singular matrix, then a = ______.
If matrix A = `[(3, -2, 4),(1, 2, -1),(0, 1, 1)]` and A–1 = `1/k` (adj A), then k is ______.
If A = `[(1, 1, 0),(2, 1, 5),(1, 2, 1)]`, then a11A21 + a12A22 + a13A23 is equal to ______.
If matrix A = `[(1, -1),(2, 3)]`, then A2 – 4A + 5I is where I is a unit matix.
